(iii) Calculus : Limits and continuity of functions. properties of continuous functions, Differentiation of functions, Mean-Value theorem, Maxima and minima. Tangents and Normals.Definition of integration as limit of a sum, Methods of integration, Substitution and integration by parts.
(iv) Differential Equations : Differential equations of first order and first degree , variables separable , Exact & homogeneous equations, Linear equation.
(v) Analytical Geometry : Equations of straight lines in cartesian and polar co-ordinates, circle, parabola and Eilipse and their Tangents and Normals.
(vi) Mechanics : Law of parallelogram of forces, Triangle of forces, Lami's theorem and its applications. Newton's laws of motion. Motion in a straight line, Motion under gravity.